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1144455676 = 2271367167281
BaseRepresentation
bin100010000110111…
…0000000111111100
32221202111101001021
41010031300013330
54320440040201
6305321353524
740234466320
oct10415600774
92852441037
101144455676
11538019541
1227b3388a4
13153147610
14abdd1980
156a717ea1
hex443701fc

1144455676 has 96 divisors (see below), whose sum is σ = 2525709312. Its totient is φ = 441745920.

The previous prime is 1144455661. The next prime is 1144455677. The reversal of 1144455676 is 6765544411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144455677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4072656 + ... + 4072936.

It is an arithmetic number, because the mean of its divisors is an integer number (26309472).

Almost surely, 21144455676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144455676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262854656).

1144455676 is an abundant number, since it is smaller than the sum of its proper divisors (1381253636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1144455676 is a wasteful number, since it uses less digits than its factorization.

1144455676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 1144455676 is about 33829.8045516080. The cubic root of 1144455676 is about 1046.0031501745.

The spelling of 1144455676 in words is "one billion, one hundred forty-four million, four hundred fifty-five thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 67 91 134 167 182 268 281 334 364 469 562 668 871 938 1124 1169 1742 1876 1967 2171 2338 3484 3653 3934 4342 4676 6097 7306 7868 8684 11189 12194 14612 15197 18827 22378 24388 25571 30394 37654 44756 46927 51142 60788 75308 78323 93854 102284 131789 145457 156646 187708 244751 263578 290914 313292 328489 489502 527156 581828 610051 656978 979004 1018199 1220102 1313956 1713257 2036398 2440204 3144109 3426514 4072796 4270357 6288218 6853028 8540714 12576436 17081428 22008763 40873417 44017526 81746834 88035052 163493668 286113919 572227838 1144455676